The stochastic Heisenberg model |
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Authors: | William G Faris |
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Affiliation: | 1. Departamento de Matemática, Pontifícia Universidade Católica, Rio de Janeiro, Brasil;2. Department of Mathematics, University of Arizona, Tucson, Arizona 85721 USA |
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Abstract: | The stochastic Heisenberg model is a classical mechanical model for a magnet in contact with a medium at fixed temperature. The dynamics in the infinite volume limit is a well-defined Markov process. Equilibrium states exist, and in this limit there is the possibility of multiple equilibrium states at low temperature, corresponding to different directions of magnetism. |
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